Ok a few questions I want to check answers on -
-x+4-9x+3¡Ý 7(x-2)
-10x+7¡Ý7x-14
-10x-7x¡Ý7x-7x-14
-17x¡Ý-21
-17x/-17¡Ý-21/-17
x¡Ý21/17 or x¡Ü21/17 ??
One I do not understand at all -
The linear equation y=3x-5 graphs as a horizontal/vertical/diagonal line)choose the correct label)
Is it asking for a answer of horizontal, vertical or diagonal?
Finally
Name the coordinate described here:
From the origin, the point is six places to the right and five places up.
(6,5) 6 is the x-coordinate and 5 is the y-coordinate
Is that the answer the question is looking for?
Thanks for help.
Ok my first question messed up as I do not know how to type a greaterthen/equal sign and lessthen/equal sign.
so it should be
-x+4-9x+3 >= 7(x-2)
-10x+7 >= 7x-14
-10x-7x >= 7x-7x-14
-17x >= -21
-17x/-17 >= -21/-17
x >= 21/17 or x <= 21/17 ??
The correct answer is x ≤ 21/7
When you divide (or multiply) by a negative number, which you did in your second-last line, you have to reverse the inequality sign.
BTW. to get the ≤ sign,
hold down the Alt key, at the same time press 243 on the number pad, then release the Alt key.
try it also with 241,251 and some other values. REAL COOL
For "The linear equation y=3x-5 graphs as a horizontal/vertical/diagonal line)choose the correct label)
Is it asking for a answer of horizontal, vertical or diagonal? " it sounds like they want you to choose one of the tree labels.
Since the line has a slope of 3, it can't be either horizontal nor vertical.
It is a "diagonal" line.
For the last one, you are right.
It is as simple as it appears.
Let's go through each question one by one:
1. -x + 4 - 9x + 3 ≥ 7(x - 2)
To solve this inequality, we can simplify it step by step:
- Combine like terms: -10x + 7 ≥ 7x - 14
- Move all x terms to one side and all constant terms to the other side: -10x - 7x ≥ -7 - 14
- Combine like terms: -17x ≥ -21
- Finally, divide both sides of the inequality by -17. Remember, when dividing or multiplying by a negative number, the direction of the inequality sign flips: x ≤ -21/-17 or x ≥ 21/17
So the solution to the inequality is x ≤ -21/17 or x ≥ 21/17.
2. -10x + 7 ≥ 7x - 14
Again, let's solve this inequality step by step:
- Combine like terms: -10x - 7x ≥ -14 - 7
- Combine like terms: -17x ≥ -21
- Divide both sides by -17, remembering to flip the inequality sign: x ≤ -21/-17 or x ≥ 21/17
So the solution to the inequality is x ≤ -21/17 or x ≥ 21/17.
3. -10x - 7x ≥ 7x - 7x - 14
Simplifying and solving the inequality:
- Combine like terms: -17x ≥ -14
- Divide both sides by -17, remembering to flip the inequality sign: x ≤ -14/-17 or x ≥ 14/17
So the solution to the inequality is x ≤ 14/17 or x ≥ -14/17.
4. -17x ≥ -21
To solve this inequality:
- Divide both sides by -17, remembering to flip the inequality sign: x ≤ -21/-17 or x ≥ 21/17
So the solution to the inequality is x ≤ 21/17 or x ≥ -21/17.
5. -17x/-17 ≥ -21/-17
Simplifying and solving the inequality:
- Divide both sides by -17, remembering to flip the inequality sign: x ≤ -21/-17 or x ≥ 21/17
So the solution to the inequality is x ≤ 21/17 or x ≥ -21/17.
Now moving on to the next question:
The linear equation y = 3x - 5 graphs as a horizontal/vertical/diagonal line.
To determine the graph type, we look at the coefficient of x:
- If the coefficient of x is zero, the line will be horizontal.
- If the coefficient of y is zero, the line will be vertical.
- If neither coefficient is zero, the line will be diagonal.
In this case, the coefficient of x is 3, which is not zero. Therefore, the line will be diagonal.
Finally, let's address the last question:
The coordinate described "From the origin, the point is six places to the right and five places up" is (6,5). The x-coordinate refers to the horizontal position, which is six to the right, and the y-coordinate refers to the vertical position, which is five places up. So (6,5) is indeed the answer the question is looking for.
I hope this helps! Let me know if you have any further questions.